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Finding the Third Proportional to 136,915.31 and 207,013.22

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Solution

The third proportional to 136,915.31 and 207,013.22 is: 312,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,915.31 : 207,013.22 = 207,013.22 : x
  2. Step 2: Convert to fraction form
    136,915.31/207,013.22 = 207,013.22/x
  3. Step 3: Cross multiply
    136,915.31x = 207,013.22 × 207,013.22
  4. Step 4: Simplify right side
    136,915.31x = 42,854,472,737.24
  5. Step 5: Solve for x
    x = 42,854,472,737.24/136,915.31
  6. Step 6: Final answer
    x = 312,999.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.